13288920 has 128 divisors (see below), whose sum is σ = 42517440. Its totient is φ = 3317760.

The previous prime is 13288909. The next prime is 13288927. The reversal of 13288920 is 2988231.

13288920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13288927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182004 + ... + 182076.

Almost surely, 2^13288920 is an apocalyptic number.

13288920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13288920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21258720).

13288920 is an abundant number, since it is smaller than the sum of its proper divisors (29228520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13288920 is a wasteful number, since it uses less digits than its factorization.

13288920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 13288920 is about 3645.3970977110. The cubic root of 13288920 is about 236.8626382718.

The spelling of 13288920 in words is "thirteen million, two hundred eighty-eight thousand, nine hundred twenty".